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Results tagged with geodesics
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user 407460
For questions involving consideration of the shortest (or longest) path between two points in a curved space (e.g. a straight line between two points on the surface of a sphere such as the earth).
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Derivative of line element in general relativity is zero?
Actually you don't need $\frac{d}{d\lambda} \sqrt{-g_{\mu\nu}\dot{x}^\mu \dot{x}^\nu} =0$.
Since $$L=\sqrt{-g_{\mu\nu}\dot{x}^ \mu \dot {x}^\nu} $$, $L^2$ also satisfies Euler-Lagrange equations.
So …
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